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Byju's Answer
Standard IX
Mathematics
Volume of a cuboid
How many lead...
Question
How many lead shots, each
3
m
m
in diameter, can be made from a cuboid with dimensions
(
12
c
m
×
11
c
m
×
9
c
m
)
?
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Solution
It is given that
Diameter
=
3
m
m
=
0.3
c
m
Radius
=
0.3
2
c
m
We know that
Number of lead shots = volume of cuboid / volume of
1
lead shot
By substituting the values
Number of lead shots
=
(
12
×
11
×
9
)
(
4
3
×
22
7
×
(
0.3
2
)
3
)
On further calculation
Number of lead shots
=
(
12
×
11
×
9
)
(
4
3
×
22
7
×
(
0.027
8
)
)
So we get
Number of lead shots
=
84000
Therefore, the number of lead shots are
84000
.
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Similar questions
Q.
How many lead shots, each 3 mm in diameter, can be made from a cuboid with dimensions (12 cm
× 11 cm × 9 cm
)?
Q.
How many lead shots, each 0.3 cm in diameter, can be made from a cuboid of dimensions 9 cm
×
11 cm
× 12 cm?
(a) 7200
(b) 8400
(c) 72000
(d) 84000
Q.
How many spherical lead shots each having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9 cm × 11 cm × 12 cm?